Suppose t) = + cze' -3-2 2 -3 -2 -1 1 2 A B (a) Find c and c2. c1 = C2 = -3 -2 -1 1 2 3 -3 -2 -1 -2 -2 (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most closely resembles the graph you drew? B D (c) Is the solution curve headed toward or away from the origin as t increases? OA. toward OB. away OC. neither toward nor away

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Suppose
y2
y2
2
2
y(t)
+ cze'
y1
y1
-3
-2
-1
1
2
-3
-2
-1
3
-1
-1
-2
-2
(0)
-3
-3
A
(a) Find c1 and c2.
y2
y2
C =
Cɔ =
y1
y1
-3
-2
-1
1
3
-3
-2
-1
3.
-1
-2
-2
(b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most
-3
-3
closely resembles the graph you drew?
B
(c) Is the solution curve headed toward or away from the origin as t increases?
A. toward
B. away
C. neither toward nor away
Transcribed Image Text:Suppose y2 y2 2 2 y(t) + cze' y1 y1 -3 -2 -1 1 2 -3 -2 -1 3 -1 -1 -2 -2 (0) -3 -3 A (a) Find c1 and c2. y2 y2 C = Cɔ = y1 y1 -3 -2 -1 1 3 -3 -2 -1 3. -1 -2 -2 (b) Sketch the phase plane trajectory that satisfies the given initial condition. Which graph most -3 -3 closely resembles the graph you drew? B (c) Is the solution curve headed toward or away from the origin as t increases? A. toward B. away C. neither toward nor away
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